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Finding the Third Proportional to 155,588 and 241,382

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Solution

The third proportional to 155,588 and 241,382 is: 374,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,588 : 241,382 = 241,382 : x
  2. Step 2: Convert to fraction form
    155,588/241,382 = 241,382/x
  3. Step 3: Cross multiply
    155,588x = 241,382 × 241,382
  4. Step 4: Simplify right side
    155,588x = 58,265,269,924
  5. Step 5: Solve for x
    x = 58,265,269,924/155,588
  6. Step 6: Final answer
    x = 374,484.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.